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Finding the Fourth Proportional to 861.85, 1,293.18 and 847.27

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Solution

The fourth proportional to 861.85, 1,293.18 and 847.27 is: 1,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.85 : 1,293.18 = 847.27 : x
  2. Step 2: Convert to fraction form
    861.85/1,293.18 = 847.27/x
  3. Step 3: Cross multiply
    861.85x = 1,293.18 × 847.27
  4. Step 4: Simplify right side
    861.85x = 1,095,672.62
  5. Step 5: Solve for x
    x = 1,095,672.62/861.85
  6. Step 6: Final answer
    x = 1,271.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.